SOLUTION: Solve y=x+1/x with 0<x<=1 for x in terms of y.
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Question 344883: Solve y=x+1/x with 0
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Solving for x. Since x cannot be zero, we can go ahead and multiply both sides of the equation by x. This will eliminate the fraction:
Next we'll get one side equal to zero (because we are about to use the Quadratic Formula) by subtracting xy from each side:
Because multiplication is commutative and because it may make the next step clearer, I'm going to rewrite xy as yx:
Now we will use the Quadratic formula with a = 1, c = 1 and b = -y! This is an unusual yet still valid way to use the Quadratic Formula.
which simplifies as follows:
This equation has x solved for in terms of y.
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